{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Programming Exercise 1: Linear Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2 Linear regression with one variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "datafile = 'data/ex1data1.txt'\n",
    "cols = np.loadtxt(datafile,delimiter=',',usecols=(0,1),unpack=True) #Read in comma separated data\n",
    "#Form the usual \"X\" matrix and \"y\" vector\n",
    "X = np.transpose(np.array(cols[:-1]))\n",
    "y = np.transpose(np.array(cols[-1:]))\n",
    "m = y.size # number of training examples\n",
    "#Insert the usual column of 1's into the \"X\" matrix\n",
    "X = np.insert(X,0,1,axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.1 Plotting the Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.text.Text at 0x108b7e190>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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v8I5lKt1fMFL0FaRR1UC2IOmZA47pvi1REVvexGHwk59cHCG7+OJwWckI2cUX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\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d5c450>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot the data to see what it looks like\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(X[:,1],y[:,0],'rx',markersize=10)\n",
    "plt.grid(True) #Always plot.grid true!\n",
    "plt.ylabel('Profit in $10,000s')\n",
    "plt.xlabel('Population of City in 10,000s')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.2 Gradient Descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "iterations = 1500\n",
    "alpha = 0.01"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "32.0727338775\n"
     ]
    }
   ],
   "source": [
    "def h(theta,X): #Linear hypothesis function\n",
    "    return np.dot(X,theta)\n",
    "\n",
    "def computeCost(mytheta,X,y): #Cost function\n",
    "    \"\"\"\n",
    "    theta_start is an n- dimensional vector of initial theta guess\n",
    "    X is matrix with n- columns and m- rows\n",
    "    y is a matrix with m- rows and 1 column\n",
    "    \"\"\"\n",
    "    #note to self: *.shape is (rows, columns)\n",
    "    return float((1./(2*m)) * np.dot((h(mytheta,X)-y).T,(h(mytheta,X)-y)))\n",
    "\n",
    "#Test that running computeCost with 0's as theta returns 32.07:\n",
    "\n",
    "initial_theta = np.zeros((X.shape[1],1)) #(theta is a vector with n rows and 1 columns (if X has n features) )\n",
    "print computeCost(initial_theta,X,y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Actual gradient descent minimizing routine\n",
    "def descendGradient(X, theta_start = np.zeros(2)):\n",
    "    \"\"\"\n",
    "    theta_start is an n- dimensional vector of initial theta guess\n",
    "    X is matrix with n- columns and m- rows\n",
    "    \"\"\"\n",
    "    theta = theta_start\n",
    "    jvec = [] #Used to plot cost as function of iteration\n",
    "    thetahistory = [] #Used to visualize the minimization path later on\n",
    "    for meaninglessvariable in xrange(iterations):\n",
    "        tmptheta = theta\n",
    "        jvec.append(computeCost(theta,X,y))\n",
    "        # Buggy line\n",
    "        #thetahistory.append(list(tmptheta))\n",
    "        # Fixed line\n",
    "        thetahistory.append(list(theta[:,0]))\n",
    "        #Simultaneously updating theta values\n",
    "        for j in xrange(len(tmptheta)):\n",
    "            tmptheta[j] = theta[j] - (alpha/m)*np.sum((h(theta,X) - y)*np.array(X[:,j]).reshape(m,1))\n",
    "        theta = tmptheta\n",
    "    return theta, thetahistory, jvec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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DXdtRREREpMgqvewoIiIiIgkVX3m0Hp1SFjHlkVIWMeURUx4pZRFTHoGKLxEREZEyUs+X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\n3LuqxTvQigAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1097a0150>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Actually run gradient descent to get the best-fit theta values\n",
    "initial_theta = np.zeros((X.shape[1],1))\n",
    "theta, thetahistory, jvec = descendGradient(X,initial_theta)\n",
    "\n",
    "#Plot the convergence of the cost function\n",
    "def plotConvergence(jvec):\n",
    "    plt.figure(figsize=(10,6))\n",
    "    plt.plot(range(len(jvec)),jvec,'bo')\n",
    "    plt.grid(True)\n",
    "    plt.title(\"Convergence of Cost Function\")\n",
    "    plt.xlabel(\"Iteration number\")\n",
    "    plt.ylabel(\"Cost function\")\n",
    "    dummy = plt.xlim([-0.05*iterations,1.05*iterations])\n",
    "    #dummy = plt.ylim([4,8])\n",
    "\n",
    "\n",
    "plotConvergence(jvec)\n",
    "dummy = plt.ylim([4,7])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1192c9c10>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IMPbvf2vdkgxj7vNSXaHslJFAJiJPisguEdkQsW+GiGwXkY/Cj76ZKAsR+UQo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\nZG6pqNAmfU0WCEMhrXXOybnQiIiIyNNybx4yIiI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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1190ef350>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot the line on top of the data to ensure it looks correct\n",
    "def myfit(xval):\n",
    "    return theta[0] + theta[1]*xval\n",
    "plt.figure(figsize=(10,6))\n",
    "plt.plot(X[:,1],y[:,0],'rx',markersize=10,label='Training Data')\n",
    "plt.plot(X[:,1],myfit(X[:,1]),'b-',label = 'Hypothesis: h(x) = %0.2f + %0.2fx'%(theta[0],theta[1]))\n",
    "plt.grid(True) #Always plot.grid true!\n",
    "plt.ylabel('Profit in $10,000s')\n",
    "plt.xlabel('Population of City in 10,000s')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.4 Visualizing _J($\\theta$)_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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80eZdNQCCIDIDT6LScvuHQiF4PB7Y7XaUlJSgpqZG17q1Kg6IoiiJ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NAAAg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q5FKLQhEYuchNjDww2xCOwiAe7uWsfRv1yGUiHBZAIXF0eUTSqVoHFR0NXV5bQY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\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3m/jolaX4+7gQPcyH3PyzdPSYUFpoiPlegHX4eCm9WlvGjb+08ZjmZoLRaLwgUT0fQ2dL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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d67c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Import necessary matplotlib tools for 3d plots\n",
    "from mpl_toolkits.mplot3d import axes3d, Axes3D\n",
    "from matplotlib import cm\n",
    "import itertools\n",
    "\n",
    "fig = plt.figure(figsize=(12,12))\n",
    "ax = fig.gca(projection='3d')\n",
    "\n",
    "xvals = np.arange(-10,10,.5)\n",
    "yvals = np.arange(-1,4,.1)\n",
    "myxs, myys, myzs = [], [], []\n",
    "for david in xvals:\n",
    "    for kaleko in yvals:\n",
    "        myxs.append(david)\n",
    "        myys.append(kaleko)\n",
    "        myzs.append(computeCost(np.array([[david], [kaleko]]),X,y))\n",
    "\n",
    "scat = ax.scatter(myxs,myys,myzs,c=np.abs(myzs),cmap=plt.get_cmap('YlOrRd'))\n",
    "\n",
    "plt.xlabel(r'$\\theta_0$',fontsize=30)\n",
    "plt.ylabel(r'$\\theta_1$',fontsize=30)\n",
    "plt.title('Cost (Minimization Path Shown in Blue)',fontsize=30)\n",
    "plt.plot([x[0] for x in thetahistory],[x[1] for x in thetahistory],jvec,'bo-')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Linear Regression with multiple variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "datafile = 'data/ex1data2.txt'\n",
    "#Read into the data file\n",
    "cols = np.loadtxt(datafile,delimiter=',',usecols=(0,1,2),unpack=True) #Read in comma separated data\n",
    "#Form the usual \"X\" matrix and \"y\" vector\n",
    "X = np.transpose(np.array(cols[:-1]))\n",
    "y = np.transpose(np.array(cols[-1:]))\n",
    "m = y.size # number of training examples\n",
    "#Insert the usual column of 1's into the \"X\" matrix\n",
    "X = np.insert(X,0,1,axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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Lueqqqxg6dChDhgzhwx/+MDfeeCPnnnsujY2NDBs2jCuuuIKbb76538bq008/nT322IND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\nRKQoJQkRESnq/wOS252R7zQczQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1190ef610>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Quick visualize data\n",
    "plt.grid(True)\n",
    "plt.xlim([-100,5000])\n",
    "dummy = plt.hist(X[:,0],label = 'col1')\n",
    "dummy = plt.hist(X[:,1],label = 'col2')\n",
    "dummy = plt.hist(X[:,2],label = 'col3')\n",
    "plt.title('Clearly we need feature normalization.')\n",
    "plt.xlabel('Column Value')\n",
    "plt.ylabel('Counts')\n",
    "dummy = plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Feature normalizing the columns (subtract mean, divide by standard deviation)\n",
    "#Store the mean and std for later use\n",
    "#Note don't modify the original X matrix, use a copy\n",
    "stored_feature_means, stored_feature_stds = [], []\n",
    "Xnorm = X.copy()\n",
    "for icol in xrange(Xnorm.shape[1]):\n",
    "    stored_feature_means.append(np.mean(Xnorm[:,icol]))\n",
    "    stored_feature_stds.append(np.std(Xnorm[:,icol]))\n",
    "    #Skip the first column\n",
    "    if not icol: continue\n",
    "    #Faster to not recompute the mean and std again, just used stored values\n",
    "    Xnorm[:,icol] = (Xnorm[:,icol] - stored_feature_means[-1])/stored_feature_stds[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ogqLkopUtHaWPAf8MzEufnwnc0YQYRq0I/3lF4VzkbGqxn8C8XWSKnotGn5b5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\n38ysJFzwzcxKwgXfzKwkXPDNzEri/wPVFIAW46O2awAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119947390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Quick visualize the feature-normalized data\n",
    "plt.grid(True)\n",
    "plt.xlim([-5,5])\n",
    "dummy = plt.hist(Xnorm[:,0],label = 'col1')\n",
    "dummy = plt.hist(Xnorm[:,1],label = 'col2')\n",
    "dummy = plt.hist(Xnorm[:,2],label = 'col3')\n",
    "plt.title('Feature Normalization Accomplished')\n",
    "plt.xlabel('Column Value')\n",
    "plt.ylabel('Counts')\n",
    "dummy = plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M1E2VRUREJKE3jep3AMOAe4A/5D36lM7newcSVo7I9VRdGu2rXZr/jimLJOUR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\nSE1RVQrqqxIREZEc9VT1UrK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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1198e6b90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Run gradient descent with multiple variables, initial theta still set to zeros\n",
    "#(Note! This doesn't work unless we feature normalize! \"overflow encountered in multiply\")\n",
    "initial_theta = np.zeros((Xnorm.shape[1],1))\n",
    "theta, thetahistory, jvec = descendGradient(Xnorm,initial_theta)\n",
    "\n",
    "#Plot convergence of cost function:\n",
    "plotConvergence(jvec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Check of result: What is price of house with 1650 square feet and 3 bedrooms?\n",
      "$293098.15\n"
     ]
    }
   ],
   "source": [
    "#print \"Final result theta parameters: \\n\",theta\n",
    "print \"Check of result: What is price of house with 1650 square feet and 3 bedrooms?\"\n",
    "ytest = np.array([1650.,3.])\n",
    "#To \"undo\" feature normalization, we \"undo\" 1650 and 3, then plug it into our hypothesis\n",
    "ytestscaled = [(ytest[x]-stored_feature_means[x+1])/stored_feature_stds[x+1] for x in xrange(len(ytest))]\n",
    "ytestscaled.insert(0,1)\n",
    "print \"$%0.2f\" % float(h(theta,ytestscaled))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from numpy.linalg import inv\n",
    "#Implementation of normal equation to find analytic solution to linear regression\n",
    "def normEqtn(X,y):\n",
    "    #restheta = np.zeros((X.shape[1],1))\n",
    "    return np.dot(np.dot(inv(np.dot(X.T,X)),X.T),y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Normal equation prediction for price of house with 1650 square feet and 3 bedrooms\n",
      "$293081.46\n"
     ]
    }
   ],
   "source": [
    "print \"Normal equation prediction for price of house with 1650 square feet and 3 bedrooms\"\n",
    "print \"$%0.2f\" % float(h(normEqtn(X,y),[1,1650.,3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
